Two dice are tossed and the magnitude of the difference in the number of dots facing up in the two dice is noted. (a) What is the sample space of the event of tossing of the two dice

Answers

Answer 1

Answer:

Sample space S = {0,1,2,3,4,5}

Step-by-step explanation:

We all know that when a dice is tossed, the minimum value that can be obtained is 1 and the maximum value that can be obtained is 6.

Now, when two dice are tossed, the possible cases are:

[tex]= \left\{\begin{array}{cccccc}(1,1)&(1,2)&(1,3) &(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3) &(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3) &(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3) &(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3) &(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3) &(6,4)&(6,5)&(6,6)\end{array}\right\}[/tex]

However, the magnitude of the difference in no. of dots showing up in the two dice is:

[tex]= = \left\{\begin{array}{cccccc}(1,1)=0&(1,2)=1&(1,3)=2 &(1,4)=3&(1,5)=4&(1,6)=5\\(2,1)=1&(2,2)=0&(2,3)=1 &(2,4)=2&(2,5)=3&(2,6)=4\\(3,1)=2&(3,2)=1&(3,3)=0 &(3,4)=1&(3,5)=2&(3,6)=3\\(4,1)=3&(4,2)=2&(4,3)=1 &(4,4)=0&(4,5)=1&(4,6)=2\\(5,1)=4&(5,2)=3&(5,3)=2 &(5,4)=1&(5,5)=0&(5,6)=1\\(6,1)=5&(6,2)=4&(6,3)=3 &(6,4)=2&(6,5)=4&(6,6)=0\end{array}\right\}[/tex]

Thus, the sample space Sample space-related when two dice are tossed & the magnitude is:

S = {0,1,2,3,4,5,}


Related Questions

What is the value of 43 = 23? 2 7 8 16​

Answers

Answer:

16

Step-by-step explanation:

I dont really inderstand but i would say 16 because it is closer to adding up to 43 so yea

Long tall tent company makes tents in the shape of a triangular prism’s the tent model above has a length of 7 feet a width of 6 feet and the base has a height of 4 feet the bases are equilateral triangle‘s why is the surface area of the tent will mark. Brainlest if right

Answers

Answer:

160 I'm pretty sure but I'm not sure

Consider the following work breakdown structure: Time Estimates (days) Activity Precedes Optimistic Most Likely Pessimistic Start A,B - - - A C,D 44 50 56 B D 45 60 75 C E 42 45 48 D F 31 40 49 E F 27 36 39 F End 58 70 82 What is the probability that the critical path for this project will be completed within 210 days

Answers

Answer: the probability that the critical path for this project will be completed within 210 days is 0.99725

Step-by-step explanation:

Given that;

Work break down is;  

 Time Estimates (days)

Activity  Precedes  Optimistic  Most Likely  Pessimistic  

Start          A,B              -                    -                   -  

A               C,D             44                50                 56  

B               D                45                60                  75  

C               E                42                45                   48  

D               F                31                 40                   49  

E               F                27                36                   39  

F              End            58                70                   82

we know that;

Expected Time = ( Optimistic Time + ( 4 × most likely time) + pessimistic time) / 6

and

Variance = [( pessimistic time - Optimistic time) / 6 ]²

so

ACTIVITY              EXPECTED TIME                                 VARIANCE

A                   (44 + (4 × 50) + 56) / 6 = 50                    ((56 - 44) / 6)² = 4

B                   (45 + (4 × 60) + 75) / 6 = 60                    ((75 - 45) / 6)² = 25

C                  (42 + (4 × 45) + 48) / 6 = 45                    ((48 - 42) / 6)² = 1

D                   (31 + (4 * 40) + 49) / 6 = 40                     ((49 - 31) / 6)² = 9

E                   (27 + (4 * 36) + 39) / 6 = 35                     ((39 - 27) / 6)² = 4

F                   (58 + (4 * 70) + 82) / 6 = 70                     ((82 - 58) / 6)² = 16

ACTIVITY     DURATION      ES        EF        LS        LF        SLACK

A                   50                      0        50         0         50            0

B                   60                      0        60        30        90           30

C                   45                     50       95        50        95            0

D                   40                     60      100        90       130          30

E                    35                    95       130        95       130           0

F                    70                    130     200       130      200           0

FORWARD PASS:

ES = MAXIMUM EF OF ALL PREDECESSOR ACTIVITIES; 0 IF NO PREDECESSORS ARE PRESENT.

EF = ES + DURATION OF THE ACTIVITY.

CRITICAL PATH = PATH WITH THE LONGEST COMBINED DURATION VALUE AND 0 SLACK.

CRITICAL PATH = ACEF

DURATION OF PROJECT = 200

Now the probability

VARIANCE OF CRITICAL PATH = SIGMA(VARIANCE OF THE CRITICAL PATH) = 25

STANDARD DEVIATION OF CRITICAL PATH = SQRT(VARIANCE OF CRITICAL PATH) = 5

EXPECTED TIME = DURATION OF THE PROJECT = CRITICAL PATH = 200

DUE TIME = 210

Z = (DUE TIME - EXPECTED TIME) / STANDARD DEVIATION OF CRITICAL PATH)

Z = (210 - 200) / 5 = 2

Now form the Normal Distribution Table;

Z = 0.99725

Therefore, the probability that the critical path for this project will be completed within 210 days is 0.99725

2x2=4 because 2+2=4 and 2,4 bam got ur answer 4

Answers

Answer:

makes sense

Step-by-step explanation:

The vertex form of the equation of a parabola is y = 3(x-4)2 +13. What is the
standard form of the equation?
A. y=x-
X2 - 8x + 21
c
- 4x + 29
B. y = 1x2 - 4
C. y=1x2 - 4
D. y-1x2 - Bx +29
4x +21
W

Answers

It is d y-1x2-Bc+29 I say that bc it says that in the answer up above

Im not sure on how to do this and its suppose to be done with substitution method

Answers

Answer:

1. -6

2. 0

Step-by-step explanation:

If ab and cd are congruent what is the measure of chord ab?

Answers

Answer:

the measure of cord ab will be 4 unit.

because cord ab and cord cd are congruent

Which lines are parallel

Answers

Answer:

Blue and Red line

Step-by-step explanation:

Hope I helped!

Answer:

The blue and the pink lines are parallel

Step-by-step explanation:

because they have the same slope

The pie chart shows information about voters in an election. 3360
more women voted than men. Work out the total number of voters.

Answers

Answer:

4838 total number of voters

Step-by-step explanation:

In a whole circle there 360°, in a straight line theres 180°.

180-110=70 first to break it down to find the degrees of women.

180+70=250° for women.

250°=3360

we need to find 110° of men

25°=336

times 4

100°=1344

divide by 10

10°=134.4 round down 134

1344+134=1478

3360+1478=4838

8 subtracted from v pls help me get the answer

Answers

I’m probably wrong but maybe it’s 2 to the 3rd power again I’m probably wrong

solve using elimination x+2y=4 -x-y=2

Answers

Answer:

x=-8 y=6

Step-by-step explanation:

Add the two equations together. This cancels the x and gets us y=6

Then substitute y in more the first equation which gets us -8

Answer: y = 6 x = -8

Step-by-step explanation:

X+2Y=4

-X-Y=2

(Combine like terms)

Y= 6

(Plug in 6 for y)

X+2(6)=4

X+12=4

X= -8

Write each ratio in simplest form. 25 cm to 100 cm​

Answers

i hope it helps you.

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
or not proportional

Answers

Answer:

1/2

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

[tex]y = kx[/tex]

When y = 2, x = 4;

So, we have:

[tex]2 = k * 4[/tex]

[tex]2 = 4k[/tex]

[tex]4k = 2[/tex]

Make k the subject

[tex]k = \frac{2}{4}[/tex]

[tex]k = \frac{1}{2}[/tex]

Hence, the constant of proportionality is 1/2

Answer:

1/2

Step-by-step explanation:

divide each one by two

Solve:
6 divided by 1/5

Answers

Answer:

30

Step-by-step explanation:

6/1 divided by 1/5...(turn the second fraction into 5/1)

therefore...6/1 multiplied by 5/1

=6 multiplied by 5= 30

6 divided by 1/5 is equal to 30.

To solve 6 divided by 1/5, we can multiply the dividend (6) by the reciprocal of the divisor (1/5). The reciprocal of a fraction is obtained by flipping it, so the reciprocal of 1/5 is 5/1.

6 ÷ 1/5 = 6 × 5/1

Multiplying:

6 × 5 = 30

Therefore, 6 divided by 1/5 is equal to 30.

To know more about divided, refer here:

https://brainly.com/question/15381501

#SPJ6

8, find the inverse
1. f(x)= x + 12

Answers

Answer= F^-1(x)= x-12
Hope it helps

Susan bought 12 ounces of candy. How many grams did she buy? show your work (please!!!!!!!!!!!!)


Im gonna fail ;_;

Answers

Answer:

The anwser is 340.194

Step-by-step explanation:

I knew the anwser because 1 ounce is 28.3495 then I times that by 12

The agriculture club is planting vegetable gardens of land that measures 1 3/4 of an acre. Each garden will measure 1/8 of an acre. What is the greatest number of gardens that can be planted?

Answers

Answer: 14 gardens

Explanation:

1. You can either turn the fractions into decimals (1.75 and 0.125) or make the denominators the same (1 6/8 and 1/8)

2. multiplying 3/4 by the 2 to get the least common multiple, which in this case is 8. (3/4x2=6/8)

3. Divide the number of acres available (1 6/8) by the number of acres needed for each garden (1/8) to get the answer. (1 6/8÷1/8=14)

−|−39| =
|−44|+5 =
50−|−18| =

Answers

Answer:

-39

49

32

Step-by-step explanation:

⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

Answer:

1. -39

2. 49

3. 32

Step-by-step explanation:

absolute values are always positive!!!

|-39| = 39 but since there is a minus sign outside the lines it is -39

|-44| = 44+5= 49

And 50 - 18 = 32 (|-18| = 18)

y= 6x− 11
−2x− 3y= −7

Answers

Answer:

x=2;y=1

(2,1)

Step-by-step explanation:

y= 6x− 11

−2x− 3(6x-11)= −7

-2x-18x+33=-7

-20x+33=-7

-20x=-40

x=2

y=6(2)-11

y=1

x=2;y=1

(2,1)

Answer:
(x,y) = (2,1)

Find the common difference of the arithmetic sequence 14,7,0 ....

Answers

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7    & d = -7

True/false: x=7 DOES NOT satisfy the inequality x>7

Answers

The answer is true because in order for x to be greater than 7, it would have to be 8 or above.

pls help me on area of polygons

Answers

Answer:4

Step-by-step explanation:

hoped this helped

y=(x + 2)² + 2
Graph

Answers

Answer:

use desmos___.com it should have a grapghing calculator

Step-by-step explanation: instead of using y put f(x) when u do

Help anyone??
You buy three shirts for $9.00 each, and pay the cashier $40, how much
change will you get back? *

Answers

Answer:

$13

Step-by-step explanation:

Answer: You will get $13 back

Step-by-step explanation: The cost of the shirts is $27 and since you are paying with $40 you subtract 40 to 27 and get $13.

The list shows the amount of each ingredient Charlotte used to make 3 servings of macaroni and cheese.

• 12 ounces of macaroni
• 1 egg
• 2 cups of milk
•2 1/ 2 cups of cheddar cheese

Based on this information, which statement is NOT true?
A. To make 24 servings, Charlotte should use 96 ounces of macaroni.
B. To make 9 servings, Charlotte should use 8 cups of milk.
C. To make 6 servings, Charlotte should use 5 cups of cheddar cheese.
D. To make 12 servings, Charlotte should use 4 eggs.

Answers

D because 3-1 12 divided by 3 is 4

Someone help right now :(

Answers

Answer:

ok

Step-by-step explanation:


How can you tell from a graph whether two functions are inverses of each
other?
o the graphs of the functions are reflections across the line y=x.
o the graphs of the functions are reflections across the x-axis.
o the graphs of the functions are reflections across the y-axis.
o it is not possible to tell from a graph if functions are inverses of each other.

Answers

Answer:

if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

help me with this please​

Answers

Answer: B

Step-by-step explanation:

Well if it's a greater than statement you can rule out C and D because those are less than symbols ( > = Less,  < = Greater) It can't be A because thats his starting amount. The x means how many months it will take for him to get more than 70 stamps

Can someone please answer B :)

Answers

Answer:

I think its figure 2

Step-by-step explanation:

76 is 147% of what number?

Answers

Answer:

111.72

Step-by-step explanation:

Answer:

111.72

Step-by-step explanation:

76 × (147/100)

hope it helps ☺️

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